133763124420 has 36 divisors (see below), whose sum is σ = 405748144620. Its totient is φ = 35670166464.

The previous prime is 133763124371. The next prime is 133763124463. The reversal of 133763124420 is 24421367331.

133763124420 is a `hidden beast` number, since 1 + 337 + 6 + 312 + 4 + 4 + 2 + 0 = 666.

133763124420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 95841014724 + 37922109696 = 309582^2 + 194736^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371564055 + ... + 371564414.

It is an arithmetic number, because the mean of its divisors is an integer number (11270781795).

Almost surely, 2^133763124420 is an apocalyptic number.

133763124420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133763124420 is an abundant number, since it is smaller than the sum of its proper divisors (271985020200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133763124420 is a wasteful number, since it uses less digits than its factorization.

133763124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743128484 (or 743128479 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 133763124420 in words is "one hundred thirty-three billion, seven hundred sixty-three million, one hundred twenty-four thousand, four hundred twenty".